Exact traveling wave solutions of one-dimensional parabolic-parabolic models of chemotaxis. (English) Zbl 1402.35064
Summary: In this paper, we consider three different one-dimensional parabolic-parabolic systems of chemotaxis. For these systems, we obtain the exact analytical solutions in terms of traveling wave variables. Not all solutions obtained possess an adequate physical and biological interpretation. However, some solutions seem interesting, and a more detailed analysis is possible in a future study.
MSC:
| 35C07 | Traveling wave solutions |
| 92C17 | Cell movement (chemotaxis, etc.) |
| 35K40 | Second-order parabolic systems |
| 35K57 | Reaction-diffusion equations |
Keywords:
exact analytical solutionsReferences:
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